4194391790160 has 1920 divisors, whose sum is σ = 18432620236800. Its totient is φ = 867950899200.

The previous prime is 4194391790131. The next prime is 4194391790191. The reversal of 4194391790160 is 610971934914.

4194391790160 is a `hidden beast` number, since 4 + 1 + 9 + 4 + 391 + 7 + 90 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4194391790097 and 4194391790106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2775903805 + ... + 2775905315.

It is an arithmetic number, because the mean of its divisors is an integer number (9600323040).

Almost surely, 2^{4194391790160} is an apocalyptic number.

4194391790160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4194391790160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9216310118400).

4194391790160 is an abundant number, since it is smaller than the sum of its proper divisors (14238228446640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4194391790160 is a wasteful number, since it uses less digits than its factorization.

4194391790160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 4194391790160 in words is "four trillion, one hundred ninety-four billion, three hundred ninety-one million, seven hundred ninety thousand, one hundred sixty".